Geodesic
On Periodicity in Topological Surgery
Canadian journal of mathematics, Tome 38 (1986) no. 5, pp. 1053-1064

Voir la notice de l'article provenant de la source Cambridge University Press

One of the distinguishing features of the topological category is the following periodicity in the set of homotopy TOP structures on X.THEOREM (Siebenmann). Let Xm, m ≦ 5, be a connected compact topological manifold with non-empty boundary. Then It was conjectured by Siebenmann (see [3], p. 283) that the analogous periodicity should also exist for noncompact manifolds.The purpose of this paper is to prove that this is indeed the case, namely:THEOREM 1. Let Let Xm, m ≦ 6, be a connected noncompact topological manifold with non-empty boundary. Then 
Kwasik, Slawomir. On Periodicity in Topological Surgery. Canadian journal of mathematics, Tome 38 (1986) no. 5, pp. 1053-1064. doi: 10.4153/CJM-1986-051-6
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